A large class of metal dodecaborides (MB12) is currently raising great expectations as multifunctional materials,
but their refined structures are not fully resolved, which severely
limits the understanding of structure–property relationships.
Here, we report that the tetragonal tI26 structure is the thermodynamic
ground state of ScB12, and we predict the tetragonal YB12, ZrB12, and HfB12 to be metastable,
whereas the cubic cF52 structure is the high-temperature phase of
ScB12 and represents the thermodynamic ground state of
YB12, ZrB12, and HfB12. Crystal structures
based on experimental synchrotron data are reported for tetragonal
ScB12 and cubic YB12, and high-temperature X-ray
data prove the phase transformation into cubic ScB12. In
both types of crystal structures, the most prominent feature is that
the boron atoms are linked into a rigid three-dimensional network
of interconnected, empty B12-cuboctahedra with metal atoms
in large cages in form truncated octahedra consisting of 24 boron
atoms. It is the uniqueness of these configurations that causes unusual
functionalities, i.e., the coexistence of high hardness, low density,
and good electrical conductivity. Furthermore, we elucidate that these
physical properties are of electronic origins. These findings not
only resolve the longstanding structural puzzle of this family of
MB12 but also provide crucial insights into the underlying
nature of their remarkable properties.